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Finding the Fourth Proportional to 534.71, 737.91 and 301.83

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Solution

The fourth proportional to 534.71, 737.91 and 301.83 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 737.91 = 301.83 : x
  2. Step 2: Convert to fraction form
    534.71/737.91 = 301.83/x
  3. Step 3: Cross multiply
    534.71x = 737.91 × 301.83
  4. Step 4: Simplify right side
    534.71x = 222,723.38
  5. Step 5: Solve for x
    x = 222,723.38/534.71
  6. Step 6: Final answer
    x = 416.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.